Sederhanakan operasi aljabar berikut ini. a. y^3 x 2y^7 x

a. 18y^12, b. 2b^4y^9, c. 3m^7n^4, d. 4t^7n^12, e. 30x^9y^10

Pembahasan

Berikut adalah penyederhanaan operasi aljabar yang diberikan:

a. y^3 * 2y^7 * (3y)^2
   = y^3 * 2y^7 * 9y^2
   = (1 * 2 * 9) * (y^3 * y^7 * y^2)
   = 18 * y^(3+7+2)
   = 18y^12

b. b * 2y^7 * b^3 * y^2
   = (1 * 2) * (b * b^3) * (y^7 * y^2)
   = 2 * b^(1+3) * y^(7+2)
   = 2b^4y^9

c. 3m^3 * (mn)^4
   = 3m^3 * m^4n^4
   = 3 * (m^3 * m^4) * n^4
   = 3 * m^(3+4) * n^4
   = 3m^7n^4

d. (tn^3)^4 * 4t^3
   = t^4 * (n^3)^4 * 4t^3
   = t^4 * n^(3*4) * 4t^3
   = t^4 * n^12 * 4t^3
   = 4 * (t^4 * t^3) * n^12
   = 4 * t^(4+3) * n^12
   = 4t^7n^12

e. (2x^3) * 3(x^2 y^2)^3 * 5y^4
   = 2x^3 * 3(x^(2*3) * y^(2*3)) * 5y^4
   = 2x^3 * 3(x^6 y^6) * 5y^4
   = (2 * 3 * 5) * (x^3 * x^6) * (y^6 * y^4)
   = 30 * x^(3+6) * y^(6+4)
   = 30x^9y^10